Phases of Kaluza-Klein Black Holes: A Brief Review

Abstract

We review the latest progress in understanding the phase structure of static and neutral Kaluza-Klein black holes, i.e. static and neutral solutions of pure gravity with an event horizon that asymptote to a d-dimensional Minkowski-space times a circle. We start by reviewing the (mu,n) phase diagram and the split-up of the phase structure into solutions with an internal SO(d-1) symmetry and solutions with Kaluza-Klein bubbles. We then discuss the uniform black string, non-uniform black string and localized black hole phases, and how those three phases are connected, involving issues such as classical instability and horizon-topology changing transitions. Finally, we review the bubble-black hole sequences, their place in the phase structure and interesting aspects such as the continuously infinite non-uniqueness of solutions for a given mass and relative tension.

arXiv comment23 pages, 5 figures. v2: Typo fixed

References in corpus (37)

• Black Strings and p-Branes are Unstable
• A rotating black ring in five dimensions
• The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
• Generalized Weyl Solutions
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Stationary and Axisymmetric Solutions of Higher-Dimensional General Relativity
• On non-uniform black branes
• Fate of the Black String Instability
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• A critical dimension in the black-string phase transition
• Topology change in General Relativity and the black-hole black-string transition
• Connecting black holes and black strings
• Towards the Final Fate of an Unstable Black String
• Black Holes on Cylinders
• Properties of Kaluza-Klein black holes
• Small Black Holes on Cylinders
• General Definition of Gravitational Tension
• Tension Perturbations of Black Brane Spacetimes
• On Black-Brane Instability In an Arbitrary Dimension
• Phase Structure of Black Holes and Strings on Cylinders
• Caged Black Holes: Black Holes in Compactified Spacetimes I -- Theory
• Black holes on cylinders are not algebraically special
• Caged Black Holes: Black Holes in Compactified Spacetimes II - 5d Numerical Implementation
• Sequences of Bubbles and Holes: New Phases of Kaluza-Klein Black Holes
• When Black Holes Meet Kaluza-Klein Bubbles
• On Choptuik's scaling in higher dimensions
• Analytic approximation to 5 dimensional Black Holes with one compact dimension
• Black Holes in a Compactified Spacetime
• No naked singularities in homogeneous, spherically symmetric bubble spacetimes?
• A numerical examination of an evolving black string horizon
• Smeared branes and the Gubser-Mitra conjecture
• Critical bubbles and implications for critical black strings
• Playing with Black Strings
• Collapse of Kaluza-Klein Bubbles
• A Periodic Analog of the Schwarzschild Solution
• Kinematical bound in asymptotically translationally invariant spacetimes
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes

Cited by in corpus (35)

• Black Rings
• Gravitational radiative corrections from effective field theory
• The Phase Transition between Caged Black Holes and Black Strings - A Review
• The Black Di-Ring: An Inverse Scattering Construction
• Black Holes as Lumps of Fluid
• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• Nonuniform black strings in various dimensions
• Phases of Five-Dimensional Black Holes
• Black Holes in Higher-Dimensional Gravity
• On the Structure of Stationary and Axisymmetric Metrics
• Matched Asymptotic Expansion for Caged Black Holes - Regularization of the Post-Newtonian Order
• Counter-examples to the correlated stability conjecture
• Asymptotics of d-dimensional Kaluza-Klein black holes: beyond the Newtonian approximation
• Instabilities of Near-Extremal Smeared Branes and the Correlated Stability Conjecture
• On non-uniform smeared black branes
• Stresses and Strains in the First Law for Kaluza-Klein Black Holes
• Pseudo-spectral construction of non-uniform black string solutions in five and six spacetime dimensions
• Analytic Evidence for Continuous Self Similarity of the Critical Merger Solution
• The Power of Action: "The" Derivation of the Black Hole Negative Mode
• On the fate of black string instabilities: An Observation
• Rotating Black Holes in Higher Dimensions
• A Microscopic Model for the Black hole - Black string Phase Transition
• New Phases of Thermal SYM and LST from Kaluza-Klein Black Holes
• Motion of charged particles around a magnetic black hole/topological star with a compact extra dimension
• Thermodynamics of the Near-Extremal NS5-brane
• Three-Charge Black Holes on a Circle
• Black strings in (4+1)-dimensional Einstein-Yang-Mills theory
• The decay of hot KK space
• Notes on ten-dimensional localized black holes and deconfined states in two-dimensional SYM
• A Toy Model for Topology Change Transitions: Role of Curvature Corrections
• Higher Dimensional Generalizations of the Kerr Black Hole
• Deformed black strings in 5-dimensional Einstein-Yang-Mills theory
• New frontiers in Numerical Relativity
• Relating Schwarzschild Black Holes to Branes-Antibranes
• On critical dimension in spherical black brane phase transition